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What is the length of the hypotenuse of a right angle triangle when its area is 24 square cm and its perimeter is 24 cm giving clear details of your work?
Wiki User
∙ 13y ago
Area = 1/2*base*height =24 cm2
Multiply both sides by 2: base*height = 48
Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
The only above numbers that will satisfy the criteria for the area and perimeter of the triangle are 6 and 8 because:
Area = 1/2*6*8 = 24 cm2
Perimeter = 6+8+10 = 24 cm
Therefore the length of the hypotenuse is 10 cm because it's the longest side.
Check using Pythagoras' Theorem:
62+82 = 100 and the square root of this is 10
Wiki User
∙ 13y ago
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